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Finding the Fourth Proportional to 2,124.70, 3,182.42 and 1,026.75

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Solution

The fourth proportional to 2,124.70, 3,182.42 and 1,026.75 is: 1,537.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.70 : 3,182.42 = 1,026.75 : x
  2. Step 2: Convert to fraction form
    2,124.70/3,182.42 = 1,026.75/x
  3. Step 3: Cross multiply
    2,124.70x = 3,182.42 × 1,026.75
  4. Step 4: Simplify right side
    2,124.70x = 3,267,552.30
  5. Step 5: Solve for x
    x = 3,267,552.30/2,124.70
  6. Step 6: Final answer
    x = 1,537.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.